A new law of gravitational force beyond the limits of applicability of Newton's law of gravity.

The law of cosmological gravitational force is proposed in addition to Newton's lawof gravitation. The law operates beyond the limit of applicability of Newton's law of gravitation andis applicable to the gravitational interaction of the universe. The new law of gravitational force showsthat any body of mass m is subject to the cosmological force proportional to the mass of the body and the cosmological constant Ʌ.The formula for the law of cosmological force is:F = (mc^2)√Ʌ.Instead of the gravitational constant G, the cosmological constant Ʌ is included in thecosmological force law. The new law gives the value of the force very close to the value of the Pioneeranomaly. Keywords: Pioneer effect, Pioneer anomaly, gravitation, Newton's law, large numbers,cosmological equations, cosmological force.